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JEE Main202224 Jun 2022Evening ShiftMathematicsParabolaActual

Let P 1 be a parabola with vertex 3 , 2 and focus 4 , 4 and P 2 be its mirror image with respect to the line x + 2 y = 6 . Then the directrix of P 2 is x + 2 y = _____.

Correct answer

0

Step-by-step solution

Plotting the diagram as per given data we get, P 1 : Directrix x + 2 y = k x + 2 y - k = 0 3 + 4 - K 5 = 5 7 - k = 5 7 - K = 5 7 - K = - 5 k = 2 k = 12 Accepted Rejected   Passes   through   focus D 1 = x + 2 y = 2 = x + 2 y = 6 D 2 = x + 2 y = C ⇒ d ⇒ d ⇒ c = 10

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